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A flexible, circular conducting wire lies in a uniformmagnetic field (direction

ID: 1754764 • Letter: A

Question

A flexible, circular conducting wire lies in a uniformmagnetic field (direction of the field is into the page). Theloop is pulled on opposite sides by equal forces and stretcheduntil its enclosed area is essentially zero. What is thedirection of the induced magnetic field generated by the currentinduced in the loop while the loop is being stretched? I feel it would be in the same direction (into the page) tooppose the decreasing flux due to the decreasing area? A flexible, circular conducting wire lies in a uniformmagnetic field (direction of the field is into the page). Theloop is pulled on opposite sides by equal forces and stretcheduntil its enclosed area is essentially zero. What is thedirection of the induced magnetic field generated by the currentinduced in the loop while the loop is being stretched? I feel it would be in the same direction (into the page) tooppose the decreasing flux due to the decreasing area?

Explanation / Answer

When the loop is pulled by equal forces and stretched until its area is essentially zero,then the magnetic flux through the area enclosed by the loop decreases with time because the area decreases.Lenz's law state's that the induced current must be directed so that the magnetic field it produces opposes the change in the external magnetic flux.Because the magnetic flux due to an external field directed into the page is decreasing,the induced current-if it is to oppose this change-must produce a field that is also directed into the page.The induced current attempts to maintain the original flux through the area enclosed by the current loop.

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